3) A resistive material is shaped as a part of a sphere, which is between r = a and r 2a surfaces as shown in left figure. The conductivity and dielectric constant (relative permittivity) of the material are given by; 10 and ɛ, =1+r 2a a) Find the resistance (DC resistance) of this material between r = a and r = 2a surfaces in terms of given parameters b) In terms of given parameters and current I flowing through material, find and express free charge densities where they exist.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3) A resistive material is shaped as a part of a sphere, which is
between r = a and r =
2a surfaces as shown in left figure. The
conductivity and dielectric constant (relative permittivity) of the
material are given by;
10
O =
and ɛ, =1+r
2a
a) Find the resistance (DC resistance) of this material between
r = a and r = 2a surfaces in terms of given parameters
a
b) In terms of given parameters and current I flowing through
material, find and express free charge densities where they exist.
Assume zero electric field intensity outside of this material.
Hint: The volume current density only depends on r variable.
Transcribed Image Text:3) A resistive material is shaped as a part of a sphere, which is between r = a and r = 2a surfaces as shown in left figure. The conductivity and dielectric constant (relative permittivity) of the material are given by; 10 O = and ɛ, =1+r 2a a) Find the resistance (DC resistance) of this material between r = a and r = 2a surfaces in terms of given parameters a b) In terms of given parameters and current I flowing through material, find and express free charge densities where they exist. Assume zero electric field intensity outside of this material. Hint: The volume current density only depends on r variable.
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